求下列极限
(1)lim_x→0(x-sinx)/(x+x²)
(2)lim_x→+∞{[(1+1/x)]cos(1/x)}/arccotx
(3)lim_x→+∞e^x/x^x
(4)lim_x→0-lncotx/lnx
(5)lim_x→+∞(e^x-e^x)/(e^x+e^x)
(6)lim[ln(1+sin2x)/arcsin(x+x²)]
(7)lim_x→0(x-sinx)/x²ln(1+x)
(8)lim_x→2+[cosx•ln(x-2)/ln(e^x-e²)]
(9)lim_x→0(1-sinx)^x/2
(10)lim_x→0(sinx/x)^x/1
(11)lim_x→1[x/(x-1)-1/lnx]
(12)lim_x→0+xlnsinx